7945120159200 has 720 divisors, whose sum is σ = 33132519383040. Its totient is φ = 1814984340480.

The previous prime is 7945120159181. The next prime is 7945120159219. The reversal of 7945120159200 is 29510215497.

7945120159200 is a `hidden beast` number, since 7 + 9 + 4 + 51 + 2 + 0 + 1 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7945120159181) and next prime (7945120159219).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1015606489 + ... + 1015614311.

It is an arithmetic number, because the mean of its divisors is an integer number (46017388032).

Almost surely, 2^{7945120159200} is an apocalyptic number.

7945120159200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945120159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566259691520).

7945120159200 is an abundant number, since it is smaller than the sum of its proper divisors (25187399223840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7945120159200 is a wasteful number, since it uses less digits than its factorization.

7945120159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 7945120159200 in words is "seven trillion, nine hundred forty-five billion, one hundred twenty million, one hundred fifty-nine thousand, two hundred".